Question 22

1/6

Dividing 1/9 by 2/3 yields a result of 1/6. This is calculated by multiplying 1/9 by the reciprocal of 2/3, which is 3/2.

A) 1/6

This option is correct because when you divide 1/9 by 2/3, you multiply 1/9 by the reciprocal of 2/3 (which is 3/2). Thus, (1/9) * (3/2) = 3/18, which simplifies to 1/6.

B) 3/18

While this option represents the intermediate step in the calculation, it is not fully simplified. Since 3/18 reduces to 1/6, this option is incorrect as a final answer.

C) 1/3

This option is incorrect because it does not reflect the correct calculation. Dividing 1/9 by 2/3 does not yield 1/3; rather, the process leads to 1/6.

D) 2/3

This option is incorrect as well. Dividing 1/9 by 2/3 does not result in 2/3; instead, the proper calculation shows that the result is 1/6.

Conclusion

The correct answer is 1/6, as it accurately reflects the division of 1/9 by 2/3 when calculated correctly. All other options either represent incorrect final results or are not in their simplest form, confirming that A is the only valid answer.